{
  "id": "math-ph/0606068",
  "version": "v1",
  "published": "2006-06-29T14:57:06.000Z",
  "updated": "2006-06-29T14:57:06.000Z",
  "title": "An example of one-dimensional phase transition",
  "authors": [
    "U. A. Rozikov"
  ],
  "comment": "Published in Siberian Adv.Math. 2006, V.16, n.2, p.121-125",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the paper a one-dimensional model with nearest - neighbor interactions $I_n, n\\in \\Z$ and spin values $\\pm 1$ is considered. We describe a condition on parametres $I_n$ under which the phase transition occurs. In particular, we show that the phase transition occurs if $I_n\\geq |n|, n\\in \\Z.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-29T14:57:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20"
    ],
    "keywords": [
      "one-dimensional phase transition",
      "phase transition occurs",
      "spin values",
      "one-dimensional model",
      "neighbor interactions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.ph...6068R"
    }
  }
}